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20172021
most citedProbability inequalities for high dimensional time series under a triangular array framework

4 citations · 15 across the 7 of their papers we have counts for

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13 papers · 1 filter

math.ST20211 cited

On boosting the power of Chatterjee's rank correlation

Zhexiao Lin, Fang Han

Chatterjee (2021)'s ingenious approach to estimating a measure of dependence first proposed by Dette et al. (2013) based on simple rank statistics has quickly caught attention. Thi…

math.ST20203 cited

On a phase transition in general order spline regression

Yandi Shen, Qiyang Han, Fang Han

In the Gaussian sequence model in , we study the fundamental limit of approximating the signal by a class of (generalized) s…

math.ST2020

Exponential inequalities for dependent V-statistics via random Fourier features

Yandi Shen, Fang Han, Daniela Witten

We establish exponential inequalities for a class of V-statistics under strong mixing conditions. Our theory is developed via a novel kernel expansion based on random Fourier featu…

math.ST2019

Distribution-free consistent independence tests via center-outward ranks and signs

Hongjian Shi, Mathias Drton, Fang Han

This paper investigates the problem of testing independence of two random vectors of general dimensions. For this, we give for the first time a distribution-free consistent test. O…

math.ST2019

On rank estimators in increasing dimensions

Yanqin Fan, Fang Han, Wei Li +1

The family of rank estimators, including Han's maximum rank correlation (Han, 1987) as a notable example, has been widely exploited in studying regression problems. For these estim…

math.ST20194 cited

Probability inequalities for high dimensional time series under a triangular array framework

Fang Han, Weibiao Wu

Study of time series data often involves measuring the strength of temporal dependence, on which statistical properties like consistency and central limit theorem are built. Histor…